Co-Hopf Space Structure on Closure Spaces
Yazarlar (1)
Doç. Dr. Sibel DEMİRALP Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
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| Dergi Adı | Turkish Journal of Mathematics and Computer Science | ||
| Dergi ISSN | 2148-1830 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2022 |
| Cilt / Sayı / Sayfa | 14 / 2 / 321–330 | DOI | 10.47000/tjmcs.1091039 |
| Makale Linki | https://dergipark.org.tr/tr/download/article-file/2322924 | ||
| Özet |
| By constructing Hopf costructures on closure spaces via homotopy, we give the concepts of closure Hopf cospace (CH-cospace) and closure Hopf cogroup (CH-cogroup). We then prove that retract and deformation retract of a CH-cospace are also a CH-cospace. We construct a Hopf costructure on a set with the help of the quotient closure operator. We also show that a closure space with the same homotopy type as a CH-cogroup is itself a CH-cogroup. We prove the existence of a covariant functor between the homotopy category of the pointed closure spaces (CHC) and the category of groups and homomorphisms. |
| Anahtar Kelimeler |
| closure space | Homotopy | Hopf cospace |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 2 |